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QUESTION::: Give a reason for the significance of irrigation in:
1\Punjab 2/Rajesthan
Answers
Answer:
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Explanation:Ano ang kapangyarihan ng gobernador heneralAno ang kapangyarihan ng gobernador heneralAno ang kapangyarihan ng gobernador heneralAno ang kapangyarihan ng gobernador heneral
Answer:
sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:
ᴀ ᴠᴇᴄᴛᴏʀ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ʙᴏᴛʜ ᴀ ᴀɴᴅ ʙ ɪs ᴏʙᴛᴀɪɴᴇᴅ ᴀs ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴠᴇᴄᴛᴏʀs ᴀ ᴀɴᴅ ʙ. ʟᴇᴛ ᴄ ʙᴇ ᴛʜᴀᴛ ᴠᴇᴄᴛᴏʀ. ᴛʜᴀᴛ ɪs,
ᴄ = ᴀ × ʙ .
ᴀ = ɪ + ᴊ - ᴋ ᴀɴᴅ ʙ = ɪ + ᴊ - ᴋ. ᴜsɪɴɢ ʟᴇᴠɪ-ᴄɪᴠɪᴛᴀ sʏᴍʙᴏʟ € ɪᴊᴋ, ᴀɴᴅ ᴜɴɪᴛ ᴠᴇᴄᴛᴏʀs ᴇ
ᴀ × ʙ = € ɪᴊᴋ ᴇɪ ᴀ ᴊ ʙᴋ . ( ɪᴊᴋ, ɪ,ᴊ, ᴀɴᴅ ᴋ ᴀʀᴇ ᴀʟʟ sᴜʙsᴄʀɪᴘᴛs), ᴡʜᴇʀᴇ sᴜᴍᴍᴀᴛɪᴏɴ ᴏᴠᴇʀ ᴛʜᴇ ʀᴇᴘᴇᴀᴛᴇᴅ sʏᴍʙᴏʟ ɪ ɪs ᴜɴᴅᴇʀsᴛᴏᴏᴅ ( ᴇɪɴsᴛᴇɪɴ sᴜᴍᴍᴀᴛɪᴏɴ ᴄᴏɴᴠᴇɴᴛɪᴏɴ). ᴛʜᴇ ʟᴇᴠɪ-ᴄɪᴠɪᴛᴀ sʏᴍʙᴏʟ
€ɪᴊᴋ = ɪғ ᴀɴʏ ᴛᴡᴏ ᴏғ ᴛʜᴇ ɪɴᴅɪᴄᴇs ɪ,ᴊ,ᴋ, ᴀʀᴇ sᴀᴍᴇ,
= + ɪғ ᴀʟʟ ᴛʜʀᴇᴇ ɪɴᴅɪᴄᴇs ɪ,ᴊ,ᴋ ᴀʀᴇ ᴅɪsᴛɪɴᴄᴛ ᴀɴᴅ ᴀʀᴇ ᴄʏʟɪᴄ ɪɴ , , ,
= - ɪғ ᴀʟʟ ᴛʜʀᴇᴇ ɪɴᴅɪᴄᴇs ᴀʀᴇ ᴅɪsᴛɪɴᴄᴛ ᴀɴᴅ ᴀʀᴇ ɴᴏᴛ ᴄʏᴄʟɪᴄ ɪɴ ,,.
ᴛʜᴇ ɪɴᴅɪᴄᴇs ɪ, ᴊ, ᴋ, ᴛᴀᴋᴇ ᴛʜᴇ ᴠᴀʟᴜᴇs ,, . ᴛʜᴇ ᴜɴɪᴛ ᴠᴇᴄᴛᴏʀs ᴇ ɪ ᴛᴀᴋᴇ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴇ = ɪ , ᴇ = ᴊ ᴀɴᴅ ᴇ = ᴋ. ɪɴ ᴛʜɪs ɴᴏᴛᴀᴛɪᴏɴ,
ᴀ ×ʙ = ɪ (€ ᴀ² ʙ³ - €ᴀ³ʙ²)+ ᴊ ( € ᴀ³ ʙ¹ - €ᴀ¹ ʙ³) + ᴋ ( € ᴀ¹ ʙ² - € ᴀ² ʙ¹)= ɪ [( ×-) -(-×)] + ᴊ [ (-×)-(×-)] + ᴋ [( ×)-(×)] = ɪ - ᴊ + ᴋ.
sᴏ ᴀ× ʙ = ɪ - ᴊ + ᴋ.
| ᴀ×ʙ | = [ ()² + (-)² +()² ]^½ = ( ++)^½= √= .
sᴏ ᴀ ᴠᴇᴄᴛᴏʀ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ʙᴏᴛʜ ᴀ ᴀɴᴅ ʙ ɪs ᴄ, ᴡʜᴇʀᴇ
ᴄ = ɪ - ᴊ + ᴋ.
ᴀ ᴜɴɪᴛ ᴠᴇᴄᴛᴏʀ ᴀʟᴏɴɢ ᴄ ɪs ᴄ/ . ᴀɴᴅ ᴀ ᴠᴇᴄᴛᴏʀ ᴀʟᴏɴɢ ᴄ ᴏғ ᴍᴀɢɴɪᴛᴜᴅᴇ ɪs ᴄ/ = ᴄ / = ɪ - ᴊ + ᴋ.
sᴏ ᴀ ᴠᴇᴄᴛᴏʀ ᴏғ ᴍᴀɢɴɪᴛᴜᴅᴇ ᴀɴᴅ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ᴛᴡᴏ ɢɪᴠᴇɴ ᴠᴇᴄᴛᴏʀs ᴀ ᴀɴᴅ ʙ = ɪ - ᴊ + ᴋ..